Refer to the data. if the consumer has money income of $52 and the prices of j and k are $8 and $4 respectively, the consumer will maximize her utility by purchasing:
a. 2 units of j and 7 units of k.
b. 5 units of j and 5 units of k.
c. 4 units of j and 5 units of k.
d. 6 units of j and 3 units of k.

Option C  ( 4 units of J and 5 units of K)

Step-by-step explanation:

First of all to maximize utility means to get the most value from the available money, and in this case it means to buy the maximum amount of items J and K with 52 dollars.

Option C is for 4 units of J and 5 units of K    1 unit of J costs 8 dollars, therefore 4 units of J would cost 4×8=32                          dollars.   1 unit of K costs 4 dollars, therefore 5 units of J would cost 5×4= 20 dollars.   The total cost of 4 units of J and 5 units of K would be equal to 32+20= 52 dollars. From the calculations above we are able to but 4 units of J and 5 units of K with the 52 dollars and without having and change left or being in debt. This would mean we have maximized our utility. If we were to buy 2 units of J and 7 units of K as I option A, we would have a total of 44 dollars which leaves us with a change of 8 dollars. We could still have bought one more of item J or 2 more of item K with the change. Therefore we would not have maximized our utility (the money) if we had done chosen A. The same applies if we go with options B and D, but in this case we would be spending more than what we have.

The operation is suck a c@ck? !